x+x+2/x+4/x+3=300

Solution for x+x+2/x+4/x+3=300 equation:

x+x+2/x+4/x+3=300

We move all terms to the left:

x+x+2/x+4/x+3-(300)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

2x+2/x+4/x-297=0

We multiply all the terms by the denominator


2x*x-297*x+2+4=0

We add all the numbers together, and all the variables

-297x+2x*x+6=0

Wy multiply elements

2x^2-297x+6=0

a = 2; b = -297; c = +6;
Δ = b2-4ac
Δ = -2972-4·2·6
Δ = 88161
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-297)-\sqrt{88161}}{2*2}=\frac{297-\sqrt{88161}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-297)+\sqrt{88161}}{2*2}=\frac{297+\sqrt{88161}}{4}
$